Answer:
"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."
Step-by-step explanation:
Coterminal angle:
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
Finding if 3pi/4 is coterminal with 19pi/4:
19pi/4
= 16pi/4 + 3pi/4
= 4pi + 3pi/4
= 2(2pi) + 3pi/4
= 2(360°) + 3pi/4
= 3pi/4
Hence they are coterminal.
Reference angle:
The smallest angle that the terminal side makes with x-axis.
3pi/4 falls in second quadrant.
In 2nd quadrant, reference angle is given as = pi - 3pi/4
reference angle = pi/4.
Answer:
Step-by-step explanation:
We know by the Triangle Angle-Sum Theorem that the angles of a triangle all add up to equal 180. So we find angle B:
180 - 82 - 55 = 43
So angle B = 43. Now we can use the Law of Sines to solve for side b:
Cross multiply to get
b sin(55) = 8 sin(43) and divide to solve for b:
so
b = 6.6605
From the Pythagorean Theorem:
x² + x² = 10²
2x² = 100 | :2
x² = 50 | √(..)
x = √50
x = √(25*2)
x = √25 * √2
x = 5√2
Answer B.
Answer:
147.75 milliliters
Step-by-step explanation:
Find 5/8 of 236.4
So 147.75
So Harold’s kitten drinks 147.75 milliliters Of water everyday.
Answer:
Slope =
Step-by-step explanation:
The slope is the change in y coordinates by the change in x coordinates.
We find the change from Point 2 to Point 1, given:
Point 2 is (7,2)
and
Point 1 is (4,-6)
<em>Change in y-ccordinates is 2-(-6) = 2 + 6 = 8</em>
<em>Change in x-ccordinates is 7 - 4 = 3</em>
<em />
Thus,
slope = 8/3